Kindergarten Mathematics (2008-09)

I. Number, Number Sense and Operations Standard A. Use Place value concepts to represent whole numbers using numerals, words and physical models. _____ 5. Relate, read and write numerals for single-digit numbers (0-9). B. Recognize, classify, compare and order whole numbers. _____ 1. Compare and order whole numbers up to 10. _____ 7. Compare the number of objects in two or more sets when one set has one to two more, or one to two fewer objects _____ 13. Recognize the number of quantity of sets up to 5 without counting; e.g., recognize without counting the dot arrangement on a domino as 5. D. Determine the value of a collection of coins and dollar bills. _____ 9. Identify and state the value of a penny, nickel and dime. F. Count, using numerals and ordinal numbers. _____ 2. Explain rules of counting, such as each object should be counted once and that order does not change the number. _____ 3. Count to twenty; e.g., in play situations or while reading number books. _____ 4. Determine "how many" in sets (groups) of 10 or fewer objects. G. Model, represent and explain addition as combining sets and counting on. H. Model, represent and explain subtraction as comparison, take-away and part-to- whole. _____ 8. Represent and use whole numbers in flexible ways, including relating, composing, and decomposing numbers; e.g., 5 marbles can be 2 red and 3 green or 1 red and 4 green . _____ 10. Model and represent addition as combining sets and counting on, and subtraction as take-away, comparison. Ex: a) Combine and separate small sets of objects in contextual situations; e.g., add or subtract one, two, or another small amount. b) Count on (forward) and count back (backward) on a number line between 1 and 10. I. Model, represent and explain multiplication as repeated addition, rectangular arrays and skip counting. _____ 6. Construct multiple sets of objects each containing the same number of objects. _____ 11. Demonstrate joining multiple groups of objects, each containing the same number of objects; e.g., combining 3 bags of candy, each containing 2 pieces. J. Model, represent and explain division as sharing equally, repeated subtraction and rectangular arrays. _____ 12. Partition or share a small set of objects into groups of equal size; e.g., sharing 6 stickers equally among 3 children. K. Demonstrate fluency in addition facts with addends through 9 and corresponding subtraction. _____ 8. Represent and use whole numbers in flexible ways, including relating, composing, and decomposing numbers; e.g., 5 marbles can be 2 red and 3 green or 1 red and 4 green . II. Measurement Standard

B. Select appropriate units for length, weight, volume (capacity) and time, using: • Objects; i.e., non-standard units; • U.S. customary units: inch, foot, yard, ounce, pound, cup, quart, gallon, minute, hour, day, week and year. _____ 1. Identify units of time (day, week, month, year) and compare calendar elements; e.g.. weeks are longer than days. _____ 2. Compare and order objects of different lengths, areas, weights and capacities; and use relative terms, such as longer, shorter bigger, smaller, heavier, lighter, more and less. C. Develop common referents for units of measure for length, weight, volume (capacity) and time to make comparisons and estimates. _____ 1. Identify units of time (day, week, month, year) and compare calendar elements; e.g.. weeks are longer than days. _____ 2. Compare and order objects of different lengths, areas, weights and capacities; and use relative terms, such as longer, shorter bigger, smaller, heavier, lighter, more and less. _____ 4. Order of events based on time. Ex: a) activities that take a long or short time; b) review what we do first, next, last; c) recall what we did and plan to do yesterday, today, tomorrow, D. Apply measurement techniques to measure length, weight and volume (capacity). _____ 3. Measure length and volume (capacity using uniform objects in the environment. Ex: a) how many paper clips long is a pencil; b) how many small containers it takes to fill one big container using sand, rice, beans.

III. Geometry and Spatial Sense Standard

C. Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties. _____ 1. Identify and sort two-dimensional shapes and three-dimensional objects. Ex: a) Identify and describe two-dimensional figures and three-dimensional objects from the environment using the child's own vocabulary. b) Sort shapes and objects into groups based on student-defined categories. c) Select all shapes or objects on one type from a group. d) Build two-dimensional figures using paper shapes or tangrams; build simple three-dimensional objects using blocks. _____ 2. Name and demonstrate the relative position of objects as follows: a) place objects over, under, inside, outside, on, beside, between, above, below, on top of, upsidedown, behind, in back of, in front of; b) describe placement of objects with terms, such as on, inside, outside, above, below, over, under, beside, between, in front of, behindPatterns, Func IV. IV. Algebra Standard

A. Sort, classify and order objects by size, number and other properties, and describe the attributes used. _____ 1. Sort, classify and order objects by size, number and other properties. Ex: a) Identify how objects are alike and different. b) Order three events or objects according to a given attribute, such as time or size. c). Recognize and explain how objects can be classified in more than one way. d) Identify what attributes was used to sort groups of objects that have already been sorted. B. Extend sequences of sound and shapes or simple number patterns, and create and record similar patterns. _____ 2. Identify, create, extend and copy sequence of sounds (such as musical notes), shapes (such as buttons, leaves or blocks), motions (such as hops or skips), and numbers from 1 to 10. C. Create and extend patterns: and describe the rule in words. _____ 3. Describe orally the pattern of a given sequence. D. Model problem situations, using objects, pictures, numbers and other symbols. _____ 4. Model a problem situation using physical materials.

V. Data Analysis and Probability Standard A. Pose questions and gather data about everyday situations and familiar objects. _____ 1. Gather and sort data in response to questions posed by teacher and students; e.g., how many sisters and brothers, what color shoes. B. Sort and classify objects by attributes, and organize data into categories in a simple table or chart. _____ 2. Arrange objects in a floor or table graph according to attributes; such as use, size, color or shape. _____ 3. Select the category or categories that have the most or fewest objects in a floor or table graph.